Curvilinear.... isn't that a strange word?

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SUMMARY

The term "curvilinear" represents a combination of curved and linear concepts, often used in physics to describe vector quantities like acceleration within various coordinate systems, including rectangular, plane polar, spherical, and cylindrical. This term highlights the complexity of coordinate systems and their applications in physics. The discussion also touches on the linguistic aspects of the term in Spanish, where "curvilíneo" can be gendered differently, adding another layer of interest to its usage.

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  • Understanding of vector quantities in physics
  • Familiarity with coordinate systems: rectangular, plane polar, spherical, cylindrical
  • Basic knowledge of physics terminology
  • Awareness of linguistic variations in terminology across languages
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  • Research the applications of curvilinear coordinates in advanced physics
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CPW
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Hi PF.

I'm over ten years out from graduate school in physics, and I still enjoy re-reading my textbooks. I came across the word curvilinear, and thought how strange a word it is; a juxtaposition of curved and linear, which are at times understood to be opposites. The textbook was describing vector quantities (e.g. acceleration) in rectangular, plane polar, spherical, and cylindrical coordinate systems, and curvilinear was used for a generalized coordinate system.

It struck me as funny.
I'm sure it is a word used in other applications, but what?
 
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In spanish there is also the word curvilíneo, or curvilínea. Not only the contradiction you mention, but also the género question: it can be male in some cases, and female in others😄
 
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